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melamori03 [73]
3 years ago
14

This is my first time asking a question on here-- well it here it goes.

Mathematics
1 answer:
Free_Kalibri [48]3 years ago
5 0
I just learned about the law of sines but here's what I think the answer is We must first find A and B using right angles. 90-35=5523+90=113Then find C so that we can have one full set with both the angle and the corresponding side. 113+55=168180-168=12C is 12. Now use the law of sines. 146/sin(12)=x/sin(113)Were using 113 because that is the corresponding angle to the side we are looking for which we can say is b. Solve for x by cross multiplying. 146*sin(113)=134.393708604. 134.393708604/sin(12)=646.39803599 which I believe is the answer.
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Question:
aivan3 [116]

Answer:

part A) The scale factor of the sides (small to large) is 1/2

part B) Te ratio of the areas (small to large) is 1/4

part C) see the explanation

Step-by-step explanation:

Part A) Determine the scale factor of the sides (small to large).

we know that

The dilation is a non rigid transformation that produce similar figures

If two figures are similar, then the ratio of its corresponding sides is proportional

so

Let

z ----> the scale factor

\frac{CB}{C'B'}=\frac{CD}{C'D'}=\frac{BD}{B'D'}

The scale factor is equal to

z=\frac{CB}{C'B'}

substitute

z=\frac{4}{8}

simplify

z=\frac{1}{2}

Part B) What is the ratio of the areas (small to large)?

<em>Area of the small triangle</em>

A=\frac{1}{2}(2)(4)=4\ units^2

<em>Area of the large triangle</em>

A=\frac{1}{2}(4)(8)=16\ units^2

ratio of the areas (small to large)

ratio=\frac{4}{16}=\frac{1}{4}

Part C) Write a generalization about the ratio of the sides and the ratio of the areas of similar figures

In similar figures the ratio of its corresponding sides is proportional and this ratio is called the scale factor

In similar figures the ratio of its areas is equal to the scale factor squared

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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